Probability Question A fair coin is tossed repeatedly until a head appears

Can you help me with this.

A fair coin is tossed repeatedly until a head appears. Let $N$ be the number of
trials until the rst head appears. Then a fair die is rolled $N$ times. Let $X$ be the number of times that the die comes up $4$. Calculate $P\{X = 0\}$, $P\{X = 1\}$ and $E[X]$.